Truncated sequential non-parametric hypothesis testing based on random distortion testing

P Khanduri, D Pastor, V Sharma… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
In this paper, we propose a new algorithm for sequential non-parametric hypothesis testing
based on Random Distortion Testing (RDT). The data-based approach is non-parametric in …

[Retracted] Research on Numerical Simulation Method of Nonstationary Random Vibration Signal Sensor in Railway Transportation

W Zhang, B Zhang, F Xu, M Asif - Journal of Sensors, 2022 - Wiley Online Library
During railway transportation, due to various factors such as road conditions and operating
conditions and produced vibrations and shocks, this kind of vibration environment may …

Interfacing biology, category theory and mathematical statistics

D Pastor, E Beurier, A Ehresmann… - arXiv preprint arXiv …, 2020 - arxiv.org
Motivated by the concept of degeneracy in biology (Edelman, Gally 2001), we establish a
first connection between the Multiplicity Principle (Ehresmann, Vanbremeersch 2007) and …

On random distortion testing based sequential non-parametric hypothesis testing

P Khanduri, D Pastor, V Sharma… - 2018 56th Annual …, 2018 - ieeexplore.ieee.org
In this work, we propose a new method for sequential binary hypothesis testing. The
approach is non-parametric in the sense that it does not assume any knowledge of signal …

Characterisation of organisations for resilient detection of threats: a cluster of multiplicity

E Beurier - 2020 - theses.hal.science
The starting point of this thesis is sensor networks, and how to instigate resilience in them.
Our approach relies on category theory. We first tackle the use of dynamical systems and …

Research on Numerical Simulation Method of Nonstationary Random Vibration Signal Sensor in Railway Transportation

MA Shah, B Zhang, F Xu, M Asif - Wenchao Zhang, Bo Zhang, Fei …, 2022 - papers.ssrn.com
During railway transportation, due to various factors such as road conditions and operating
conditions and produced vibrations and shocks, this kind of vibration environment may …

Binary decision for observations with unknown distribution: an optimal and invariance-based framework

S Bourmani - 2020 - theses.hal.science
During my thesis, we took interest in decision problems where signals are assumed to be
stochastic with unknown distributions. In standard literature, such an assumption does not …

A mathematical approach to resilience

D Pastor, E Beurier, AC Ehresmann… - arXiv preprint arXiv …, 2020 - arxiv.org
In this paper, we evolve from sparsity, a key concept in robust statistics, to concepts and
theoretical results of what we call the mathematics of resilience, at the interface between …

Random Distortion Testing in Additive White Gaussian Noise with Unknown Standard Deviation

G Ansel, D Pastor - Available at SSRN 4845196 - papers.ssrn.com
Abstract Random Distortion Testing (RDT) addresses the problem of testing whether the
Mahalanobis distance between a known deterministic model θ0 and a random signal Θ with …

Distributed sequential hypothesis testing with dependent sensor observations

S Zhang, P Khanduri… - 2019 53rd Asilomar …, 2019 - ieeexplore.ieee.org
In this paper, we consider the problem of distributed sequential detection using wireless
sensor networks (WSNs) in the presence of imperfect communication channels between the …